1/3(2x+1)+1/4(x-2)= eching

$$\frac { 1 } { 3 } ( 2 x + 1 ) + \frac { 1 } { 4 } ( x - 2 ) =$$

Baholash

$$\frac{11x}{12}-\frac{1}{6}$$

Yechim qadamlari

\frac{1}{3} ga 2x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{1}{3}\times 2x+\frac{1}{3}+\frac{1}{4}\left(x-2\right)$$

\frac{2}{3} hosil qilish uchun \frac{1}{3} va 2 ni ko'paytirish.

$$\frac{2}{3}x+\frac{1}{3}+\frac{1}{4}\left(x-2\right)$$

\frac{1}{4} ga x-2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{2}{3}x+\frac{1}{3}+\frac{1}{4}x+\frac{1}{4}\left(-2\right)$$

\frac{-2}{4} hosil qilish uchun \frac{1}{4} va -2 ni ko'paytirish.

$$\frac{2}{3}x+\frac{1}{3}+\frac{1}{4}x+\frac{-2}{4}$$

\frac{-2}{4} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{2}{3}x+\frac{1}{3}+\frac{1}{4}x-\frac{1}{2}$$

\frac{11}{12}x ni olish uchun \frac{2}{3}x va \frac{1}{4}x ni birlashtirish.

$$\frac{11}{12}x+\frac{1}{3}-\frac{1}{2}$$

3 va 2 ning eng kichik umumiy karralisi 6 ga teng. \frac{1}{3} va \frac{1}{2} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$\frac{11}{12}x+\frac{2}{6}-\frac{3}{6}$$

\frac{2}{6} va \frac{3}{6} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{11}{12}x+\frac{2-3}{6}$$

-1 olish uchun 2 dan 3 ni ayirish.

$$\frac{11}{12}x-\frac{1}{6}$$

Kengaytirish

$$\frac{11x}{12}-\frac{1}{6}$$

Yechim qadamlari

\frac{1}{3} ga 2x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{1}{3}\times 2x+\frac{1}{3}+\frac{1}{4}\left(x-2\right)$$

\frac{2}{3} hosil qilish uchun \frac{1}{3} va 2 ni ko'paytirish.

$$\frac{2}{3}x+\frac{1}{3}+\frac{1}{4}\left(x-2\right)$$

\frac{1}{4} ga x-2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{2}{3}x+\frac{1}{3}+\frac{1}{4}x+\frac{1}{4}\left(-2\right)$$

\frac{-2}{4} hosil qilish uchun \frac{1}{4} va -2 ni ko'paytirish.

$$\frac{2}{3}x+\frac{1}{3}+\frac{1}{4}x+\frac{-2}{4}$$

\frac{-2}{4} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{2}{3}x+\frac{1}{3}+\frac{1}{4}x-\frac{1}{2}$$

\frac{11}{12}x ni olish uchun \frac{2}{3}x va \frac{1}{4}x ni birlashtirish.

$$\frac{11}{12}x+\frac{1}{3}-\frac{1}{2}$$

3 va 2 ning eng kichik umumiy karralisi 6 ga teng. \frac{1}{3} va \frac{1}{2} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$\frac{11}{12}x+\frac{2}{6}-\frac{3}{6}$$

\frac{2}{6} va \frac{3}{6} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{11}{12}x+\frac{2-3}{6}$$

-1 olish uchun 2 dan 3 ni ayirish.

$$\frac{11}{12}x-\frac{1}{6}$$